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On the finite similarity groups

Published online by Cambridge University Press:  09 April 2009

Peter Lorimer
Peter Lorimer
Affiliation:
University of AucklandAuckland, New Zealand
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A result contained in a previous paper [1] of the author is Theorem 1. If (G, K, H) is a T3-triple, G is finite, a is an involution contained in G–N(K) and H ∩ Ka=1, then the factor group of G over its centre is isomorphic to a group of similarities over a finite field.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 10 , Issue 1-2 , August 1969 , pp. 106 - 110
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]Lorimer, Peter, ‘On the Finite Two Dimensional Linear Groups’. Journal of Algebra (to appear).Google Scholar